Solving duffing type differential equations using a three-point block variable order step size method
This research proposes a three-point block method for solving Duffing type higher order ordinary differential equations (ODEs) which is also commonly referred as the Duffing oscillator. The research conducted implements a variable order step size technique for approximating the exact s...
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Institute of Physics Publishing
2019
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| 在線閱讀: | http://psasir.upm.edu.my/id/eprint/82207/1/Solving%20duffing%20type%20differential%20equations%20using%20a%20three-point%20block%20variable%20order%20step%20size%20method.pdf http://psasir.upm.edu.my/id/eprint/82207/ https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012024 |
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my.upm.eprints.822072021-08-23T02:42:43Z http://psasir.upm.edu.my/id/eprint/82207/ Solving duffing type differential equations using a three-point block variable order step size method Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohammad Hasan Asbullah, Muhammad Asyraf Koo, Lee Feng Wong, Tze Jin Ishak, Norizarina Hamzah, Siti Raihana This research proposes a three-point block method for solving Duffing type higher order ordinary differential equations (ODEs) which is also commonly referred as the Duffing oscillator. The research conducted implements a variable order step size technique for approximating the exact solution for the Duffing Oscillator. The proposed algorithm will be tested against various Duffing oscillators and numerical approximation will be compared with current viable methods. The accuracy and efficiency of the proposed method will be illustrated in the numerical results. Institute of Physics Publishing 2019-07 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82207/1/Solving%20duffing%20type%20differential%20equations%20using%20a%20three-point%20block%20variable%20order%20step%20size%20method.pdf Rasedee, Ahmad Fadly Nurullah and Abdul Sathar, Mohammad Hasan and Asbullah, Muhammad Asyraf and Koo, Lee Feng and Wong, Tze Jin and Ishak, Norizarina and Hamzah, Siti Raihana (2019) Solving duffing type differential equations using a three-point block variable order step size method. Journal of Physics: Conference Series, 1366 (1). art. no. 012024. pp. 1-7. ISSN 1742-6588; ESSN: 1742-6596 https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012024 10.1088/1742-6596/1366/1/012024 |
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This research proposes a three-point block method for solving Duffing type higher order ordinary differential equations (ODEs) which is also commonly referred as the Duffing oscillator. The research conducted implements a variable order step size technique for approximating the exact solution for the Duffing Oscillator. The proposed algorithm will be tested against various Duffing oscillators and numerical approximation will be compared with current viable methods. The accuracy and efficiency of the proposed method will be illustrated in the numerical results. |
| format |
Article |
| author |
Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohammad Hasan Asbullah, Muhammad Asyraf Koo, Lee Feng Wong, Tze Jin Ishak, Norizarina Hamzah, Siti Raihana |
| spellingShingle |
Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohammad Hasan Asbullah, Muhammad Asyraf Koo, Lee Feng Wong, Tze Jin Ishak, Norizarina Hamzah, Siti Raihana Solving duffing type differential equations using a three-point block variable order step size method |
| author_facet |
Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohammad Hasan Asbullah, Muhammad Asyraf Koo, Lee Feng Wong, Tze Jin Ishak, Norizarina Hamzah, Siti Raihana |
| author_sort |
Rasedee, Ahmad Fadly Nurullah |
| title |
Solving duffing type differential equations using a three-point block variable order step size method |
| title_short |
Solving duffing type differential equations using a three-point block variable order step size method |
| title_full |
Solving duffing type differential equations using a three-point block variable order step size method |
| title_fullStr |
Solving duffing type differential equations using a three-point block variable order step size method |
| title_full_unstemmed |
Solving duffing type differential equations using a three-point block variable order step size method |
| title_sort |
solving duffing type differential equations using a three-point block variable order step size method |
| publisher |
Institute of Physics Publishing |
| publishDate |
2019 |
| url |
http://psasir.upm.edu.my/id/eprint/82207/1/Solving%20duffing%20type%20differential%20equations%20using%20a%20three-point%20block%20variable%20order%20step%20size%20method.pdf http://psasir.upm.edu.my/id/eprint/82207/ https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012024 |
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1709668998857097216 |
| score |
13.251813 |